Question

solve
x-1/ 6 - x+2/12 = x+3/60

please help me​

Answer 1

$\large \bold \orange{ \underline{ \underline{answer}}} \\ x = \frac{23}{4}$

$\large \bold \red{ \underline{ \underline{question}}} \\ solve \: \: \frac{ x - 1 }{6} - \frac{x + 2}{12} = \frac{x + 3}{60} \\ \\ \large \bold \green{explanation} \\ \\ = \frac{2(x - 1) - (x + 2)}{12} = \frac{x + 3}{60} \\ \\ = {2x - 2 - x - 2} = \frac{x + 3}{5} \\ = x - 4 = \frac{x + 3}{5} \\ = 5x - 20 = x + 3 \\ = 4x =23 \\ x = \frac{23}{4}$

Answer 2

QUESTION:

solve

x-1/ 6 - x+2/12 = x+3/60

ANSWER:

$\frac{x - 1}{6} - \frac{x + 2}{12} = \frac{x + 3}{60}$

$\red {(taking \: lcm \: in \: lhs \: side)}$

$\frac{2(x - 1) - 1(x + 2)}{12}=</p><p>[tex] \frac{x + 3}{60}$

[/tex]

$\orange {(solving \: numerator)}$

$\frac{2x - 2 - x - 2}{12} = \frac{x + 3}{60}$

$\purple {(cross \: multiplication)}$

$60(2x - x - 2 - 2) = (x + 3)12$

$\blue{(solving \: each \: side)}$

$60(x-4) = 12x + 36$

$\green {(moving \: variable \: to \: one \: side)}$

$60x -240= 12x = 36$

$48x = 36+240\\ x = \frac{276}{48}$

$\pink {(in \: simplest \: form)}$

$\huge\red {x = \frac{23}{4}}$